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Finding the Fourth Proportional to 277,737, 416,676.54 and 80,745

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Solution

The fourth proportional to 277,737, 416,676.54 and 80,745 is: 121,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737 : 416,676.54 = 80,745 : x
  2. Step 2: Convert to fraction form
    277,737/416,676.54 = 80,745/x
  3. Step 3: Cross multiply
    277,737x = 416,676.54 × 80,745
  4. Step 4: Simplify right side
    277,737x = 33,644,547,222.30
  5. Step 5: Solve for x
    x = 33,644,547,222.30/277,737
  6. Step 6: Final answer
    x = 121,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.